ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

• 
  A
• 
  B
• 
  C
• 
  D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

The set of first elements of the ordered pairs in a relation is called its

• domain A
• range B
• relation C
• function D

• 
  A
• 
  B
• 
  C
• None of these D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

The set {1,-1, i, -i} form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• A'B' C
• B'A D

• 
  A
• 
  B
• 
  C
• None of these D

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

A function whose range is just one element is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D

The set of the first elements of the orders pairs forming a relations is called its

• Relation in B A
• Range B
• Domain C
• Relation in A D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D